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∠ SSC CGL, CBSE 10

Trigonometry — formula, example and practice

Identities and heights-and-distances. Memorise the standard angles first.

Content type: original worked example. Not labelled as a previous-year question.

Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions

Formula

sin²θ + cos²θ = 1 · tanθ = sinθ/cosθ

Ratios of sides in a right triangle; later, identities without a triangle drawn.

What you should learn here

CBSE Class 10 and SSC CGL both ask identity proofs and a short height-distance numerical.

Worked example

Question. sin 30° = ?

Solution. 1/2. Also: sin 0=0, sin 90=1, cos 60=1/2, tan 45=1.

Common mistake. Using degree values as if they were radians, or swapping sin 30 and sin 60.

When to use the shortcut. Memorise 0–30–45–60–90 table before identities. Heights-and-distances need that table plus tan.

Related chapters and tests

Mensuration Statistics Percentage Ratio and Proportion All formulas SSC GD mocks SSC CGL mocks

150 important Trigonometry questions

Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.

Q. 1त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 2त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 3त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 4त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 5त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 6त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 7त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 8त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 9त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 10त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 11त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 12त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 13त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 14त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 15त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 16त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 17त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 18त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 19त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 20त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 21त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 22त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 23त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 24त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 25त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 26त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 27त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 28त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 29त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 30त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 31त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 32त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 33त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 34त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 35त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 36त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 37त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 38त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 39त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 40त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 41त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 42त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 43त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 44त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 45त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 46त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 47त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 48त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 49त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 50त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 51त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 52त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 53त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 54त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 55त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 56त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 57त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 58त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 59त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 60त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 61त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 62त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 63त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 64त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 65त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 66त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 67त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 68त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 69त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 70त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 71त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 72त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 73त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 74त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 75त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 76त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 77त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 78त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 79त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 80त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 81त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 82त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 83त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 84त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 85त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 86त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 87त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 88त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 89त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 90त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 91त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 92त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 93त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 94त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 95त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 96त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 97त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 98त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 99त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 100त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 101त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 102त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 103त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 104त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 105त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 106त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 107त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 108त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 109त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 110त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 111त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 112त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 113त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 114त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 115त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 116त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 117त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 118त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 119त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 120त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 121त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 122त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 123त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 124त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 125त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 126त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 127त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 128त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 129त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 130त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 131त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 132त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 133त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 134त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 135त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 136त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 137त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 138त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

Q. 139त्रिकोणमिति

The value of tan 45° is

Answer / solution

Correct option: B

tan 45 = 1.

Q. 140त्रिकोणमिति

The value of tan 0° is

Answer / solution

Correct option: A

tan 0 = 0.

Q. 141त्रिकोणमिति

The value of sin 60° is

Answer / solution

Correct option: C

Standard angle.

Q. 142त्रिकोणमिति

The value of cos 30° is

Answer / solution

Correct option: B

Standard angle.

Q. 143त्रिकोणमिति

The value of sin²θ + cos²θ is

Answer / solution

Correct option: D

Fundamental identity.

Q. 144त्रिकोणमिति

The value of tan θ is

Answer / solution

Correct option: D

Definition.

Q. 145त्रिकोणमिति

The value of sin 30° is

Answer / solution

Correct option: D

Standard angle.

Q. 146त्रिकोणमिति

The value of sin 0° is

Answer / solution

Correct option: D

sin 0 = 0.

Q. 147त्रिकोणमिति

The value of sin 90° is

Answer / solution

Correct option: B

sin 90 = 1.

Q. 148त्रिकोणमिति

The value of cos 0° is

Answer / solution

Correct option: D

cos 0 = 1.

Q. 149त्रिकोणमिति

The value of cos 60° is

Answer / solution

Correct option: A

Standard angle.

Q. 150त्रिकोणमिति

The value of cos 90° is

Answer / solution

Correct option: D

cos 90 = 0.

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